Unitary forms for holomorphic vertex operator algebras of central charge $24$
Quantum Algebra
2023-03-22 v1
Abstract
We prove that all holomorphic vertex operator algebras of central charge with non-trivial weight one subspaces are unitary. The main method is to use the orbifold construction of a holomorphic VOA of central charge directly from a Niemeier lattice VOA . We show that it is possible to extend the unitary form for the lattice VOA to the holomorphic VOA by using the orbifold construction and some information of the automorphism group .
Keywords
Cite
@article{arxiv.2211.15952,
title = {Unitary forms for holomorphic vertex operator algebras of central charge $24$},
author = {Ching Hung Lam},
journal= {arXiv preprint arXiv:2211.15952},
year = {2023}
}